Pith Number

pith:FV7M3LP5

pith:2004:FV7M3LP5HEGGQE5LDXNAQC6RCL

not attested not anchored not stored refs pending

Rohlin's invariant and gauge theory III. Homology 4--tori

Daniel Ruberman, Nikolai Saveliev

arxiv:math/0404162 v3 · 2004-04-07 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FV7M3LP5HEGGQE5LDXNAQC6RCL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:38:00.127053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d7ecdadfd390c6813ab1dda080bd112c963379815a972dffcf5f6653511eb58

Aliases

arxiv: math/0404162 · arxiv_version: math/0404162v3 · doi: 10.48550/arxiv.math/0404162 · pith_short_12: FV7M3LP5HEGG · pith_short_16: FV7M3LP5HEGGQE5L · pith_short_8: FV7M3LP5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FV7M3LP5HEGGQE5LDXNAQC6RCL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2d7ecdadfd390c6813ab1dda080bd112c963379815a972dffcf5f6653511eb58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aa5ae6e5f6ff48ed2b02bf890bed8a5e088047b69ec13ec3f96d33833e2715d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-04-07T12:18:28Z",
    "title_canon_sha256": "4689302a2cf417f5a6cd8d03bd777568abcbd880a5ac052b5b76211811489d57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0404162",
    "kind": "arxiv",
    "version": 3
  }
}